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Finding the Fourth Proportional to 70,530, 105,799.32 and 21,282

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Solution

The fourth proportional to 70,530, 105,799.32 and 21,282 is: 31,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530 : 105,799.32 = 21,282 : x
  2. Step 2: Convert to fraction form
    70,530/105,799.32 = 21,282/x
  3. Step 3: Cross multiply
    70,530x = 105,799.32 × 21,282
  4. Step 4: Simplify right side
    70,530x = 2,251,621,128.24
  5. Step 5: Solve for x
    x = 2,251,621,128.24/70,530
  6. Step 6: Final answer
    x = 31,924.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.